Structural and Stress Analysi
d d d
s
Second Edition
d
by
Dr. T.H.G. Megson
d d
,
,S o l u t i o n s d to d C h a p t e r d 2d P r o b l e m s d
S.2.1
(a) Vectorsdrepresentingdthed10dandd15dkNdforcesdareddrawndtodadsuitabledscaledasdsho
wndindFig.dS.2.1.dParalleldvectorsdACdanddBCdaredthenddrawndtodintersectdatdC.dT
hedresultantdisdthedvectordOCdwhichdisd21.8dkNdatdandangledofd23.4◦dtodthed15dkNd
force.
B C
10dkN
R
60
u
O 15dkN A FIGURED S.2.1
(b) Fromd Eq.d (2.1)d andd Fig.d S.2.1
R2d=d152d+d102d+d2d×d15d×d10dcosd60◦
whichdgives
Rd=d21.8dkN
Also,d fromd Eq.d (2.2
) tandθ
= 10dsind60◦d
15d+d10dcosd60
◦
sodthat
θd =d23.4◦.
, 3
d d d
s
Second Edition
d
by
Dr. T.H.G. Megson
d d
,
,S o l u t i o n s d to d C h a p t e r d 2d P r o b l e m s d
S.2.1
(a) Vectorsdrepresentingdthed10dandd15dkNdforcesdareddrawndtodadsuitabledscaledasdsho
wndindFig.dS.2.1.dParalleldvectorsdACdanddBCdaredthenddrawndtodintersectdatdC.dT
hedresultantdisdthedvectordOCdwhichdisd21.8dkNdatdandangledofd23.4◦dtodthed15dkNd
force.
B C
10dkN
R
60
u
O 15dkN A FIGURED S.2.1
(b) Fromd Eq.d (2.1)d andd Fig.d S.2.1
R2d=d152d+d102d+d2d×d15d×d10dcosd60◦
whichdgives
Rd=d21.8dkN
Also,d fromd Eq.d (2.2
) tandθ
= 10dsind60◦d
15d+d10dcosd60
◦
sodthat
θd =d23.4◦.
, 3
